A variable needs to be eliminated to solve the system of equations below.
Choose the correct first step.
-10x + y = 64
-10x + 5y = 40
Answer:
-10x + y = 64
Step-by-step explanation:
hope it helps
Please ASAP.
The rectangle on the right is a scaled copy of the rectangle on the left. Identify the scale factor. Express your answer as a whole number or fraction in simplest form.
Scale factor is [tex]\frac{14}{21}[/tex].
What is a scale factor?A scale factor in math is the ratio between corresponding measurements of an object and a representation of that object. If the scale factor is a whole number, the copy will be larger. If the scale factor is a fraction, the copy will be smaller.
Given
The rectangle on the right is a scaled copy of the rectangle on the left.
[tex]\frac{42}{63}[/tex] and 15 ÷ [tex]\frac{45}{2}[/tex]
[tex]\frac{42}{63}[/tex]
Rationalizing [tex]\frac{42}{63}[/tex] by 45
= [tex]\frac{42(45)}{63(45)}[/tex]
= [tex]\frac{1890}{2835}[/tex]
15 ÷ [tex]\frac{45}{2}[/tex]
Rationalizing 15 ÷ [tex]\frac{45}{2}[/tex] by 63
= [tex]\frac{30(63)}{45(63)}[/tex]
= [tex]\frac{1890}{2835}[/tex]
If we want to find the scale factor we have to equal the proportions of two rectangles.
∴ Scale factor = [tex]\frac{1890}{2835}[/tex] = [tex]\frac{14}{21}[/tex]
Hence, scale factor is [tex]\frac{14}{21}[/tex].
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Please help!!
What is the measure of angels DEF and angles DEG?
Solve v^2 -8v-33=0 by factoring.
Answer:
v= -3 and v= 11
Step-by-step explanation:
v^2 - 8v -33 = 0
v^2-11v+3v-33=0
v(v-11) +3(v-11)=0
(v+3)(v-11)=0
v+3=0 and v-11=0
v=-3 v=11
David’s salary used to be £19,500 before he received a 8% pay rise. Work out how much David is now paid?
Answer:
21060
Step-by-step explanation:
19500÷100=195
195×8=1560
1560+19500=21060
Solve for x: 14x = 196.
(Only the number)
Answer:
14
Step-by-step explanation:
Answer:
the answer is X = 14
Step-by-step explanation:
So you need to single out the X
You do this by doing the opposite of X,
right now X is being multiplied by 14
The opposite of Multiplaction is division
That means you divide X by 14
But dont forget, what you do one side you do to the other.
This means you also Divide 196 by 14
196 ÷ 14 = 14
meaning X = 14
please help me, I am so confused. Thanks
Answer:
c. 80
Step-by-step explanation:
cos x = sin(x-70)
cos x = cos [90-(x-70)]
cos x = cos (90-x +70)
cos x = cos 160 -x
x= 160-x
2x = 160
x =80
4 batteries for 5.99
Another chance for brainliest if it correct ! Please help
Answer:
A B and C are true
Step-by-step explanation:
Would it be better to have a higher interest rate on a loan or on an investment? Explain.
Answer:
When a company borrows money it is better to have a low interest rate. The lower the interest rate, the less amount of money the company has to pay back as interest on the loan.
Step-by-step explanation:
Is it better to have a higher interest rate when a company borrows money or to have a lower interest rate?
grace borrows $135,000 for a new house with an interest rate 3.5% for 30 years. how much will she pay for the house in total at the end of 30 years
Answer:
378,917.15
Step-by-step explanation:
Annual compound interest formula:
[tex]AV=PV(1+i)^n\\\\AV=135000(1+.035)^{30}\\\\135000*2.8067937047=378917.15[/tex]
PLEASE ANSWER ASAP... MANY THANKSSS <3
A straight line is parallel to Y=3x-1 and passes through (0,4)
What is the equation of the line??
9514 1404 393
Answer:
y = 3x + 4
Step-by-step explanation:
The given line is in the form ...
y = mx + b
where m is the slope (3) and b is the y-intercept (-1).
The parallel line will have the same slope. The given point (0, 4) is the y-intercept, so the desired equation is ...
y = 3x +4
what is the mathematical sentence of "A number increasd by 7 is 15?
A n - 7 = 15
B n + 7 = 15
C 7n = 15
D. n/7 = 5
Answer:
B
Step-by-step explanation:
A number increased by 7 means, 7 was added to the number and the result is 15
What is the Scale Factor?
Point B was dilated using C as the center of dilation
What is the scale factor?
Explain your thinking.
9514 1404 393
Answer:
5the length of the expanded segment is 5 times the original lengthStep-by-step explanation:
We have to assume that the image of B is the large dot at upper right. We further have to assume that the distance between dots on the line segment is equal to CB.
The scale factor multiplies the distance from C. That distance has been multiplied by 5, so the scale factor is 5.
Pls help fast !! Thanks
Simplify the expression 4f × 2g + 3h
A. 8fg + 3h
B. 24fgh
C. 9fgh
D. 6gf + h
Answer:
A. 8fg + 3h
Step-by-step explanation:
[tex]4f × 2g + 3h \\ \\ = 4 \times 2 \times f \times g + 3h \\ \\ = 8fg + 3h[/tex]
Step-by-step explanation:
[tex]4f \times 2g + 3h \\ = (4 \times 2)fg + 3h \\ = 8fg + 3h \\ [/tex]
what is 44 > 7+s + 26
Answer:
s<11
Step-by-step explanation:
44>7+s+26
Switch sides:
7+s+26<44
Group like terms:
s+7+26<44
Add the numbers:7+26=33
s+33<44
Subtract 33 from both sides:
s+33-33<44-33
Simplify:
s<11
HELP!!! What mistake did I make? And what would u suggest to help me???
Answer:
All the dots need to be on the line, and maybe dont add so many dots
Step-by-step explanation:
“Twelve less than a number.”
-7 2/3 + (5 1/2) + 8 3/4 = Need the answer asap
Answer:
answer is 7898tI don't know either thank very much for the points though
17.) An ostrich can run 174 feet in 3 seconds. What is the slope of the line and what does it
represent?
The list bellow shows the different choices of pizza at the local pizza shop .Peperoni 11 Supreme 7 6 cheese Hawaiano 3 based on the results if 189 pizza were sold then how many could be expected to be cheese
Answer:
The number expected to be cheese are 42 Pizzas
Step-by-step explanation:
According to the information provided, the total choices of Pizza at a local pizza shop are as follows:
Pizza Choice
Peperoni 11
Supreme 7
Cheese 6
Hawaiano 3
Total 27
The total pizza sold were 189, out of which the number expected to be cheese will be calculated by dividing the total number of choices and multiplying it with the required type of pizza chosen. This is done as follows:
189 / 27 * 6 = 42 Cheese Pizza
slope = 2/3 ; y-intercept = -1
• Write the linear equation in slope intercept form!
helppppp !!
Answer:
y=2/3x-1
Step-by-step explanation:
slope intercept form is y=mx+b
where m is the slope and b is the y-intercept
You already know that the slope is 2/3 and the intercept is -1 so all you have to do is plug it in
y=2/3x-1
It’s PreCal I just need a method to solve it
Answer:
see explanation
Step-by-step explanation:
Using the identities
tanx = [tex]\frac{sinx}{cosx}[/tex] , cotx = [tex]\frac{cosx}{sinx}[/tex]
Consider the left side
[tex]\frac{tanx}{tanx+cotx}[/tex]
= [tex]\frac{\frac{sinx}{cosx} }{\frac{sinx}{cosx}+\frac{cosx}{sinx} }[/tex]
= [tex]\frac{\frac{sinx}{cosx} }{\frac{sin^2x+cos^2x}{cosxsinx} }[/tex]
= [tex]\frac{\frac{sinx}{cosx} }{\frac{1}{cosxsinx} }[/tex]
= [tex]\frac{sinx}{cosx}[/tex] × [tex]\frac{cosxsinx}{1}[/tex] ← cancel cosx on numerator/ denominator
= sin²x
= right side
Which of the following is a trinomial with degree 3?
a. 2xy^2
b. 3x+3x^2
c. 2x^3+xy
d. 2+5x-3x^3
Answer:
d
Step-by-step explanation:
took the test
2x³ + xy and 2 + 5x - 3x³ are trinomials with degree 3.
Options C and D are the correct answer.
What is a polynomial?Polynomial is an equation written with terms of the form kx^n.
where k and n are positive integers.
There are quadratic polynomials and cubic polynomials.
Example:
2x³ + 4x² + 4x + 9 is a cubic polynomial.
4x² + 7x + 8 is a quadratic polynomial.
We have,
The degree of a polynomial is the highest power of the variable in the polynomial.
a.
2xy² is a monomial with degree 3 (degree of x is 1 and degree of y is 2).
b.
3x + 3x² is a binomial with degree 2 (degree of x is 2).
c.
2x³ + xy is a trinomial with degree 3 (degree of x is 3).
d.
2 + 5x - 3x³ is a trinomial with degree 3 (degree of x is 3).
Therefore,
2x³ + xy and 2 + 5x - 3x³ are trinomials with degree 3.
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If f(x) = -2x + 5 and g(x) = 5x - 5, what is the value of f(g(-4))?
Answer:
55
Step-by-step explanation:
g(-4)=-20-5 or -25
f(g(4)=-2(-25)+5 or 50+5
The diameter of a circl
10. d = 6.7 in.
In a bag there are blue sweets, red sweets and yellow sweets. The number of blue sweets is four times the number of yellow sweets. The number of red sweets is half the number of yellow sweets. Find the percentage of sweets in the bag that are yellow.
Answer:
18.18%
Step-by-step explanation:
The percentage of sweets in the bag that are yellow is as follows:
Let us assume the number of yellow sweets be x
So for number of blue sweets be 4x
And, the number of red sweets be 0.5x
So it could be written as
Blue Red Yellow
4 0.5 1
8 1 2
So for yellow, the percentage is
= 2 ÷ (8 + 1 + 2)
= 2 ÷ 11
= 18.18%
What would the area be for a circle with the diameter of 7
Answer:
The answer is 38.48
Step-by-step explanation:
Picture with explanation provided below.
Solve the system of equations 3x – 3y = 30 and 2x + y = 11 by
combining the equations.
if the simple answer interest on 2,000 for 10 years is 1,600, then what is the interest rate
Answer:
8%
Step-by-step explanation:
Solving our equation
r = 1600 / ( 2000 × 10 ) = 0.08
r = 0.08
converting r decimal to a percentage
R = 0.08 * 100 = 8%/year
The interest rate required to
accumulate simple interest of $ 1,600.00
from a principal of $ 2,000.00
over 10 years is 8% per year.